Answer:
x = -1
Step-by-step explanation:
first, create a formula or expression:
7x - 2 = 10x + 1
now, move the 10x, subtract it on the other side
-3x - 2 = 1
add 2
-3x = 3
divide by -3
x = -1
you can substitute it in to check
What is 1/2(8x+26)=13+4x ?
Answer:
no solution
Step-by-step explanation:
8 is half of 4 and 26 is half of 13
The cost price of a refrigerator is $1850.00. A buyer who is given a discount of 5% for a cash purchase will pay
Answer:
[tex]\huge\boxed{\$1757.50}[/tex]
Step-by-step explanation:
In order to find a 5% discount off $1850, we have to realize 100% of something is the whole thing.
This means that a 5% discount makes the new cost [tex]100-5=95[/tex]% of the original.
To find 95% of a number, we can convert 95% into a decimal and multiply it by 1850.
When converting a percent to a decimal, we always divide the percent by 100.
[tex]95 \div 100 = 0.95[/tex]
We can now multiply 1850 by 0.95.
[tex]1850 \cdot 0.95 = 1757.50[/tex]
So the buyer only pats $1757.50.
Hope this helped!
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data.
Sunday 66
Monday 50
Tuesday 53
Wednesday 47
Thursday 55
Friday 69
Saturday 80
A) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the P-Value? Use a 0.05 level of significance, what is your conclusion?
B) Compute the percentage of traffic accidents occuring on each day of the week. What day has the highest percentage of traffic accidents? Does this seem reasonable? Explain.
Answer:
(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.
(B) Saturday has the highest percentage of traffic accidents.
Step-by-step explanation:
(A)
The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.
The hypothesis for the test can be defined as follows:
H₀: The proportion of traffic accidents is the same for each day of the week.
Hₐ: The proportion of traffic accidents is not same for each day of the week.
Assume that the significance level of the test is, α = 0.05.
The Chi-square test statistic is given by:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
Compute the values in Excel.
The expected frequency for all the days is 60.
The Chi-square test statistic value is, 14.333.
Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".
p-value = 0.0262
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
The p-value is less than 0.05.
The null hypothesis will be rejected.
Conclusion:
There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.
(B)
Compute the percentage of traffic accidents occurring on each day of the week as follows:
[tex]\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%[/tex]
Saturday has the highest percentage of traffic accidents.
If Sam has 5 blue shirts and 7 red shirt, what is Sam's ratio of blue shirts to red shirts?
Answer: 0.71428 or 5:7 or 5/7
Step-by-step explanation: just divide on a calculator
Billy saw 6 tigers and 9 lions at the zoo. What is the ratio of tigers to lions that Billy saw, and what is the
significance of this ratio?
A. 1:3, because the cats Billy saw were in groups of threes
B. 2:3, because Billy saw two-thirds as many tigers as lions
C. 2:3, because two-thirds of the cats Billy saw were tigers
D. 1:3, because Billy saw 3 fewer tigers than lions at the zoo
Answer:
D
Step-by-step explanation:
The correct ratio is 1;3 so that eliminates B and C. The problem doesn't state anything about Billy seeing groups of tigers so D is the only logical answer.
Is this correct and why?
Answer:
For a given confidence level, t* is never smaller than z*.
Step-by-step explanation:
t* and z* are the critical value of a confidence interval. For example, at 95% confidence, z* = 1.96. This is because 95% of a normal curve is within ±1.96 standard deviations.
A student's t distribution has the same bell-curve shape as a normal distribution, but is shorter and wider, which is why t* is always larger than z*. As the sample size increases to infinity, the distribution approaches normal.
Compare the values of the 5 in 552,299.
Answer:
552,299
500,000
50,000
500,000 is 10 times greater than 50,000
50,000 is 10 times less than 500,000
Step-by-step explanation:
Find the sum of the first 25 terms of the arithmetic sequnce 17,22,27,32.37
Answer:
Step-by-step explanation:
This sequence is adding 5 so
17 22 27 32 37 42 47 52 57 62 67 72 77 82 87 92 97 102 107 112 117 122 127 132 137 = 1925
Answer: The sum of the first 25 terms of this arithmetic sequence is 1925.
Explanation: This sequence, beginning at 17, increases by 5 per term. By simply adding 5 to the preceding term in the sequence, you can find the next term. The first term is 17, and the last term is 137. This means the list of terms is 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, and 137. The sum of these terms is 1925.
Consider a communication source that transmits packets containing digitized speech. After each transmission, the receiver sends a message indicating whether the transmission was successful or unsuccessful. If a transmission is unsuccessful, the packet is resent. Suppose a voice packet can be transmitted a maximum of 8 times. Assuming that the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p, determine the probability mass function of the number of times a packet is transmitted.
Answer:
The probability mass function is
[tex]F(x) = [ \left \ 8 } \atop {x}} \right. ] * p^x * q^{n - x }[/tex]
Step-by-step explanation:
From the question we are told that
The maximum transmission time is [tex]n = 8[/tex]
Generally the number of times a packet is transmitted follows a binomial distribution given that the the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p
Generally the probability mass function is mathematically represented as
[tex]F(x) = [ \left \ 8 } \atop {x}} \right. ] * p^x * q^{n - x }[/tex]
Here x can take values x = 0 , 1 , 2 , 3 , ... , 7
what is the quotient of4/6and2/9
Answer:
3
Step-by-step explanation:
Trust meh
A recipe asks for 6 1/4 cups of flour. How many cups are needed to make 1/2 of a recipe? express the awnser in simplest form. enter the awnser in the box! Pls awnser right away
Answer: 3 1/8
Step-by-step explanation:
6 1/4 x 1/2
3. Julio's dad bought 10 dozen potatoes. The potatoes were equally
divided into 6 bags. How many potatoes are in each bag?
Answer:
20 potatoes in each bag
Step-by-step explanation:
10 x 12 = 120
120 / 6 = 20
Simplify the expression 4.5(− 6) + 19.
Answer:
-8
thats the answerr im sure
Answer:
The answer is -8.
Try maybe working it out or using a calculator.
75 is what percent of 15
Answer:
500%
Step-by-step explanation:
Is means equals and of means multiply
75 = P * 15
Divide each side by 15
75/15 = P
5 = P
Change to percent form
500%
PLEASE PLEASD HELP!!!
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in
m minutes?
The equation represents the number of gel pens, 'p' produced in 'm' minutes will be P = 8m.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a machine produces 480 gel pens per hour. The equation for the number of pens in hours can be written as,
P = 480 / 60 m
Here, P is the number of pens and 'm' is
P = 8m
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Are E.F and G Collinear if so name the line on which the lie
Select 3 ratios that are equivalent to 4 : 3
Answer:
3 ratios that are equivelent to 4 : 3
8 : 6
20 : 15
and 12 : 9
Step-by-step explanation:
Kate gets into the elevator on the third
floor of a shopping mall. She goes up 6
floors to reach the food court. After an
hour, she went down 2 floors to buy
books. At which floor is she now?
Answer:
11th floor
Step-by-step explanation:
3rd floor +6 =9
9 -2 =11
11th floor
48+(-22) what’s the answer?.
Answer:
26
Step-by-step explanation:
A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.
Answer:
26.
Step-by-step explanation:
48 - 22 = 26.
Lia has a red ribbon that is 2 1/12 long she has a blue ribbon that is 4 times inches long
Answer:
The answer would be 8 1/3!
Step-by-step explanation:
This is because when you multiply you would convert 2 1/12 to an improper fraction of 25/12 and multiply it by 4/1 to get 100/12 which equals 8 with a remainder of 4/12 simplified to 1/3 so your answer is 8 1/3!
HOPE THIS HELPS!!
Determine the domain of the function
Find the equation of a line that contains the points (3,1) and (5,-4). Write the equation in slope-intercept form
Answer:
y= -5x/2+17/2.... (x is between -5/2)
slope intercept= mx+b
y= -5x/2+17/2
Step-by-step explanation:
The equation of line in slope intercept form which passes through the points (3,1) and (5,-4) is [tex]-\frac{5}{2} x+\frac{17}{2}[/tex] .
What is the equation of line in slope intercept form?
The equation of line in the form of [tex]y = mx + b[/tex], is called slope intercept form of a line.
How to find equation of line from two points?The equation of line from two points is given by
[tex]y -y_{1} = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } (x-x_{1} )[/tex]
According to the given question
We have two points (3,1) and (5, -4)
Therefore, the equation of line which passes through the points (3,1) and (5, -4) is given by
[tex](y -1)=\frac{-4-1}{5-3} (x-3)[/tex]
⇒[tex](y-1)=\frac{-5}{2}(x-3)[/tex]
⇒[tex]y -1=\frac{-5}{2}x+\frac{15}{2}[/tex]
⇒[tex]y =-\frac{5}{2} x+\frac{15}{2} +1[/tex]
⇒[tex]y = -\frac{5}{2}x+\frac{17}{2}[/tex]
Hence, the equation of line in slope intercept form which passes through the points (3,1) and (5,-4) is [tex]-\frac{5}{2} x+\frac{17}{2}[/tex] .
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The Red Ravens Swim Team practices several hours a week to get ready for swim meets. They spend 3 times as many practice hours in the pool as in the weight room.If the swim team practiced 8 hours total last week, how many hours did they spend in the pool?
Answer:
the answer is 24 hope this helped
Step-by-step explanation:
If the swim team worked out for 8 hours last week, 6 of those hours were spent in the pool.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, In order to prepare for swim meets, the Red Ravens Swim Team practices for several hours each week. They practice in the water for three times as long as they practice in the gym.
Since the waiting time is three times as in pool times
Let "t" be the time in the pool during practice
thus, Waiting time = 3t
Also given, the swim team practiced 8 hours total last week
So,
t + 3t = 8
t = 2
Thus, time spent in the pool = 3t = 3*2 = 6
therefore, If the swim team practiced 8 hours total last week, 6 hours they spend in the pool.
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solving equations with one variable
Answer:
1) b= -20
Step-by-step explanation:
You bring the variable you want to find to one side by either bringing over the second term to the other side of the equation and change its sign or if it's a fraction you multiply both sides to remove the denominator and then solve
Which of the following best describes how the y values are changing over each interval?
х
y
2
4
1
2.
3
4
5
8
16
32
They are increasing by 2 each time,
They are increasing by 4 each time,
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.
Answer:
C
Step-by-step explanation:
They are being multiplied by 2 each time.
The value of the function is given by y = 2x
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the x values be represented as x = { 1 , 2 , 4 , 8 , 16 }
Let the y values be represented as y = { 2 , 4 , 8 , 16 , 32 }
Now , the values of y are changing over the interval as
when multiplied by 2 , we get
2 = 2 x 1
4 = 2 x 2
8 = 2 x 4
16 = 2 x 8
32 = 2 x 16
Therefore , the values are multiplied by 2
Hence , the function is y = 2x
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In a scale drawing, the length of a rectangular room is 6 inches, and the width is 3 inches. The actual length of the room Is 18 feet. What is the scale of the drawing?
Answer:
1/36
Step-by-step explanation:
6*36+216 inches
216/12(converting into feet)=18
therefore, it is 1/36 scale
Write the following comparison as a ratio reduced to lowest terms 70 days to 3 weeks
Answer:
I think that it is already in lowest terms
Step-by-step explanation:
{10, 12, 14, 16, 18, ...} What is the formula ?
Answer:
10 + 2x
Step-by-step explanation:
we you started with 10 and you're adding 2 everytime
x = the number of times you do this
10 + 2x
Answer:
2n + 8
=> 10, 12 , 14, 16, 18, 20, 22, 24, ...
2x+3y=11, solve for y
Answer:
Let's see what to do buddy...
Step-by-step explanation:
[tex]2x + 3y = 11[/tex]
Subtract the sides of the equation minus 2x :
[tex]3y = 11 - 2x[/tex]
Divided the sides of the equation by 3 :
[tex] \frac{3}{3}y = \frac{ - 2x + 11}{3} \\ \\ y = - \frac{2}{3}x + \frac{11}{3} [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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2 3/4 subtracted from 11 is equal to 8 1/4
Answer: 2/3
i think 3 divided by 2/3
Step-by-step explanation: